-5s-5x+5s+50 Combine like terms
5x+50
Answer:
A = 26 ft²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr²
We know π = 3.14 and C = 18.
Use the circumference to find "r". C = 2πr
C = 2πr
18 = 2(3.14)r
18 = 6.28r
r = 18/6.28 Exact answer
r ≈ 2.866 Rounded to three decimal places
You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.
Substitute π = 3.14 and r = 2.866.
A = πr²
A = (3.14)(2.866)² Solve exponents first
A = 3.14(8.213956) Multiply
A = 25.7918218... Unrounded answer
A ≈ 26 Rounded to nearest square foot
Add the units back in.
<h3>A = 26 ft²</h3>
<span>The probability that a house in an urban area will develop a leak is 55%. if 20 houses are randomly selected, what is the probability that none of the houses will develop a leak? round to the nearest thousandth.
Use binomial distribution, since probability of developing a leak, p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000
</span>
Answer:
21 kWh
Step-by-step explanation:
1. Subtract 25% from the original amount.
25% of 28 kWh is ...
0.25 × 28 kWh = 7.00 kWh
Subtracting this from 28 kWh, we find the usage after reduction to be ...
28 kWh - 7 kWh = 21 kWh
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2. We know that if we reduce 100% of a quantity by 25%, then the resulting amount is (100 -25)% = 75% of the original. As a fraction, this is 75/100 = 3/4 of the original amount. Then the reduced usage is ...
(3/4) × (28 kWh) = 3·(7·4)/4 kWh = 3·7 kWh = 21 kWh
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Mario must reduce his usage to 21 kWh or less.